Course Information | Main Page | Homework | Exams |
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9/22 | Introduction to Probability ( Heads or Tails Simulation , Coin Tosses Simulation ) | |
X-Hour | No X-Hour | |
9/24 | 1.2 | Basic Set Operations, Random Variables, Sample Spaces |
9/27 | 1.2 | Distribution Functions, Coin Toss Experiments, Probability vs. Odds |
9/29 | 3.1 | Permutations, Combinations, Birthday Problem ( Birthday Problem Simulation ) |
X-hour | (Optional) Proof-writing Workshop | |
10/1 | 3.1 | Asymptotic Equality, Stirling's Formula, Distribution of Prime Numbers ( Stirling's Formula Simulation) |
10/4 | 3.2 | Binomial Coefficients, Pascal's Triangle, Poker Hands |
10/6 | 3.2 | Inclusion-Exclusion, Hat Check Problem |
X-Hour | Quiz #1: Basic Probability and Combinatorics (sections 1.2, 3.1 in text) | |
10/8 | More Topics In Combinatorics: Bernoulli Trials and ``Stars and Bars''-type Problems | |
10/11 | 4.1 | Conditional Probability, Monty Hall Problem ( Monty Hall Interactive Feature) |
10/13 | 4.1 | Independent Events |
X-Hour | (Optional) Proof-writing Workshop, part II | |
10/15 | 4.1 | Bayes Formula, Applications to Medicine and Law ( NY Times Article) |
10/18 | 6.1 | Average Value, Expected Value ( Die Simulation) |
10/20 | 6.1 | The St. Petersburg Paradox, Properties of Expected Values ( Craps Simulation) |
X-Hour | No X-Hour | |
10/22 | 6.1 | Independent Random Variables, Conditional Expectation |
10/25 | 6.2 | Variance, Standard Deviation |
10/27 | 5.1 | Important Distributions I: Discrete Uniform & Binomial Distributions ( Galton Board Applet ) |
X-Hour | 5.1 | Important Distributions II: The Poisson Distribution, Horse-Kick Deaths; Midterm Exam 7 - 9 PM |
10/29 | No Class - Homecoming! | |
11/1 | 5.1 | Important Distributions III: Geometric, Negative Binomial & Hypergeometric Distributions; The Benford Distribution |
11/3 | 8.1 | The Coupon Collector Problem, Chebyshev's Inequality |
X-Hour | No X-Hour |
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11/5 | 8.1 | Law of Large Numbers, Dice-Rolling Experiment |
11/8 | 9.1 | Central Limit Theorem: Geometric Motivation |
11/10 | 9.1 | Central Limit Theorem: Proof Sketch and Examples |
X-Hour | Quiz #2: Important Distributions, Law of Large Numbers (sections 5.1, 8.1 in text) | |
11/12 | 9.2 | Central Limit Theorem: Generalizations, Application to Genetics |
11/15 | Confidence Intervals and The Embarrassing Question Experiment | |
11/17 | 11.1 | Introduction to Markov Chains |
X-Hour | (Optional) Linear Algebra Tutorial | |
11/19 | 11.2 | Absorbing Markov Chains |
11/22 | 11.3 | Regular and Ergodic Markov Chains |
11/24 | No Class - Thanksgiving Break! | |
11/29 | Markov Chains Applications: Google's PageRank Algorithm, Monopoly( Slides ) | |
12/1 | Final Exam Review - Probability Theory Jeopardy! |